Arc qvt measures 156°. which statement must be true?
a. angles qrt and qst both measure 78°.
b. angles qrt and qst both measure 156°.
c. angle qrt measures 78° and angle qst measures 102°.
d. angle qrt measures 156° and angle qst measures 24°.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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